Finished problem 39 and added some new ones.

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2018-05-20 16:32:19 -04:00
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"# Coded triangle numbers (Euler Problem 42)"
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"The nth term of the sequence of triangle numbers is given by, $t_n = \\frac{1}{2}n(n+1)$; so the first ten triangle numbers are:\n",
"\n",
" 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...\n",
"\n",
"By converting each letter in a word to a number corresponding to its alphabetical position and adding these values we form a word value. For example, the word value for SKY is 19 + 11 + 25 = 55 = $t_{10}$. If the word value is a triangle number then we shall call the word a triangle word.\n",
"\n",
"Using words.txt (right click and 'Save Link/Target As...'), a 16K text file containing nearly two-thousand common English words, how many are triangle words? (The file is saved in the same directory as this notebook file as EulerProblem042.txt)"
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